On the mixed convection boundary-layer flow about a solid sphere with constant surface temperature

Abstract

The steady mixed convection boundary-layer flow of an incompressible viscous fluid about a solid sphere with constant surface temperature is considered for both aiding and opposing flow cases. The transformed conservation equations of the non-similar boundary-layers are solved numerically using a very efficient finite-difference method known as Keller-box scheme. Numerical results are presented for different values of the mixed convection parameter λ, with the Prandtl number Pr = 0.7 (air) and Pr = 6.8 (water at 21°C), respectively. It is found that aiding flow (λ > 0) delays separation of the boundary-layer and can, if the aiding flow is strong enough, suppress it completely. The opposing flow (λ < 0), on the other hand, brings the separation point nearer to the lower stagnation point of the sphere and for sufficiently strong opposing flows there will not be a boundary-layer on the sphere. Some results were given in the form of tables. Such tables are very important and they can serve as a reference against which other exact or approximate solutions can be compared in the future.

title = "On the mixed convection boundary-layer flow about a solid sphere with constant surface temperature",

abstract = "The steady mixed convection boundary-layer flow of an incompressible viscous fluid about a solid sphere with constant surface temperature is considered for both aiding and opposing flow cases. The transformed conservation equations of the non-similar boundary-layers are solved numerically using a very efficient finite-difference method known as Keller-box scheme. Numerical results are presented for different values of the mixed convection parameter λ, with the Prandtl number Pr = 0.7 (air) and Pr = 6.8 (water at 21°C), respectively. It is found that aiding flow (λ > 0) delays separation of the boundary-layer and can, if the aiding flow is strong enough, suppress it completely. The opposing flow (λ < 0), on the other hand, brings the separation point nearer to the lower stagnation point of the sphere and for sufficiently strong opposing flows there will not be a boundary-layer on the sphere. Some results were given in the form of tables. Such tables are very important and they can serve as a reference against which other exact or approximate solutions can be compared in the future.",

T1 - On the mixed convection boundary-layer flow about a solid sphere with constant surface temperature

AU - Mohd. Nazar, Roslinda

AU - Amin, N.

AU - Pop, I.

PY - 2002/12

Y1 - 2002/12

N2 - The steady mixed convection boundary-layer flow of an incompressible viscous fluid about a solid sphere with constant surface temperature is considered for both aiding and opposing flow cases. The transformed conservation equations of the non-similar boundary-layers are solved numerically using a very efficient finite-difference method known as Keller-box scheme. Numerical results are presented for different values of the mixed convection parameter λ, with the Prandtl number Pr = 0.7 (air) and Pr = 6.8 (water at 21°C), respectively. It is found that aiding flow (λ > 0) delays separation of the boundary-layer and can, if the aiding flow is strong enough, suppress it completely. The opposing flow (λ < 0), on the other hand, brings the separation point nearer to the lower stagnation point of the sphere and for sufficiently strong opposing flows there will not be a boundary-layer on the sphere. Some results were given in the form of tables. Such tables are very important and they can serve as a reference against which other exact or approximate solutions can be compared in the future.

AB - The steady mixed convection boundary-layer flow of an incompressible viscous fluid about a solid sphere with constant surface temperature is considered for both aiding and opposing flow cases. The transformed conservation equations of the non-similar boundary-layers are solved numerically using a very efficient finite-difference method known as Keller-box scheme. Numerical results are presented for different values of the mixed convection parameter λ, with the Prandtl number Pr = 0.7 (air) and Pr = 6.8 (water at 21°C), respectively. It is found that aiding flow (λ > 0) delays separation of the boundary-layer and can, if the aiding flow is strong enough, suppress it completely. The opposing flow (λ < 0), on the other hand, brings the separation point nearer to the lower stagnation point of the sphere and for sufficiently strong opposing flows there will not be a boundary-layer on the sphere. Some results were given in the form of tables. Such tables are very important and they can serve as a reference against which other exact or approximate solutions can be compared in the future.